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Finding the Fourth Proportional to 14,234.52, 19,643.67 and 7,947.30

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Solution

The fourth proportional to 14,234.52, 19,643.67 and 7,947.30 is: 10,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.52 : 19,643.67 = 7,947.30 : x
  2. Step 2: Convert to fraction form
    14,234.52/19,643.67 = 7,947.30/x
  3. Step 3: Cross multiply
    14,234.52x = 19,643.67 × 7,947.30
  4. Step 4: Simplify right side
    14,234.52x = 156,114,138.59
  5. Step 5: Solve for x
    x = 156,114,138.59/14,234.52
  6. Step 6: Final answer
    x = 10,967.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.